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Finding the Fourth Proportional to 5,203.38, 7,799.84 and 4,497.78

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Solution

The fourth proportional to 5,203.38, 7,799.84 and 4,497.78 is: 6,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.38 : 7,799.84 = 4,497.78 : x
  2. Step 2: Convert to fraction form
    5,203.38/7,799.84 = 4,497.78/x
  3. Step 3: Cross multiply
    5,203.38x = 7,799.84 × 4,497.78
  4. Step 4: Simplify right side
    5,203.38x = 35,081,964.36
  5. Step 5: Solve for x
    x = 35,081,964.36/5,203.38
  6. Step 6: Final answer
    x = 6,742.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.